The figure above shows a cement block of
36 cm x 20 cm x 9 cm with two 10 cm x 8 cm
openings. What is the weight of the cement block
to the nearest gram? (The density of cement is
1.7 gram/cm
cm)
A) 5,040
B) 6,048
C) 7,560
D) 8,568

Answers

Answer 1

Answer:

D)  8,568

Step-by-step explanation:

weight = (volume of block - volume of slots) x density of block

           = (30 * 20 * 9) - (2 x (10 * 8 * 9)) x 1.7

            = (5400 - 1440) x 1.7

           = 8,568

Answer 2

Volume is a three-dimensional scalar quantity. The correct option is D, 8568 grams.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the complete block is,

Volume = 36 cm x 20 cm x 9 cm = 6480 cm³

The volume of the opening is,

Volume of the opening = 2 × 10 cm x 8 cm × 9cm = 1440 cm³

Therefore, the weight of the cement block to the nearest gram is,

Weight = (6480 -1440)cm³ × 1.7 gram/cm³

            = 8568 grams

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Related Questions

is it possible for two triangles to have the same angle measures but not be congruent?explain.

Answers

Answer:

Yes

Step-by-step explanation:

One triangle can be bigger then another and still have the same angle measure.

Yes, it is possible for two triangles to have the same angle measures but not be congruent.

What is congruency?

If two triangles are congruent, this means they are the same shape and the same size.

One triangle can be bigger than another and still have the same angle measure. For example, if there are two equilateral triangles all the angles are 60 degrees.

But one triangle is having a side of 10 units and the other triangle is having a side of 20 units means the second triangle is bigger than the first but the angle for both the triangles is 60 degrees.

Therefore, it is possible for two triangles to have the same angle measures but not be congruent.

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what is an equation of the line that passes through the points (-6,2)
and (-6,6)

Answers

The answer is 6.24x6.52

Which of the following criteria always proves triangles
congruent?
Select all that apply?
(Select all that apply)
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
3 congruent sides
2 congruent sides
3 congruent angles
Geometry

Answers

Answer:

The correct options are;

3 Congruent sides

Corresponding congruent Angle-Side-Angle

Corresponding congruent Side-Angle-Side

Corresponding congruent Side-Side-Angle

Step-by-step explanation:

The conditions for congruency are;

Two triangles are congruent when

AAS which is the acronym for corresponding Angle-Angle-Side are congruent

SAS  which is the acronym for corresponding Side-Angle-Side are congruent

SSS which is the acronym for corresponding Side-Side-Side are congruent

ASA which is the acronym for corresponding Angle-Side-Angle are congruent.

The criteria that always proves triangles

are congruent are;

Option A; Corresponding congruent Angle-Side-Angle

Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-Side

Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-SideOption D: 3 congruent sides

There are some congruence theorems that prove that two triangles are congruent and they are;

1) SSS; This means Side - Side - Side and it denotes that the 3 corresponding sides of both triangles are congruent.

2) SAS; This denotes Side - Angle - Side and it denotes that the 2 corresponding sides and the included corresponding angle are congruent.

3) ASA; This denotes Angle - Side - Angle and it means that the 2 corresponding angles and the included corresponding side are congruent.

4) AAS; This denotes Angle - Angle - Side and it denotes that the 2 corresponding angles and corresponding non-included side are congruent.

In conclusion, from the options, options A, B & D.

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My brother is wondering what 100÷1,000,000 equals.

Thanks to the patient person who answers this!​

Answers

Answer:

0.0001

Step-by-step explanation:

Answer: tell your brother 0.0001

Step-by-step explanation:

write each ratio as a fraction in simplest form .

Answers

Answer:

1: 1/2 2:4/9 3: 1/5 4: 1/4

Step-by-step explanation:

correct me if im wrong

Answer:

hope my answer helps

Step-by-step explanation:

......

Find the slope.
|(3, 2) and (-5,2)

Answers

Answer:

Step-by-step explanation:

Given two points

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, the slope is defined as

XXX

m

=

Δ

y

Δ

x

=

y

2

y

1

x

2

x

1

what is the gradient and vertical axis intercept of the linear equation y = 5x + 30

Answers

Gradient = Slope = coefficient of x

Thus ;

Gradient = Slope = 5

_________________________________

Vertical axis = y -axis

To find the y-intercept of the equation we must put zero instead of x .

Let's do it.....

[tex]y = 5x + 30[/tex]

[tex]y = 5(0) + 30[/tex]

[tex]y = 30[/tex]

So the y-intercept is 30 .

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Which table represents a linear function?

Answers

Answer:

a

Step-by-step explanation:

True or false 1-5 and u don’t really need to explain them that much.

Answers

Answer:

3

Step-by-step explanation:

i wont explan

2+2 ajjdbnmsfnksfnbdnsdbcs,mdv bn,zdb xzvndzsmbznx,vsdanvbf

Answers

Answer:

I belive the answer would be 4ajjdbnmsfnksfnbdnsdbcs,mdv bn,zdb xzvndzsmbznx,vsdanvbf.  : ) ahaha

answer and I’ll leave a good review

Answers

Answer:

d

Step-by-step explanation:

g

Answer:

C

Step-by-step explanation:

They are all more in the modern era

y=f(1/3x) & find new coordinates

Answers

Answer:

A(-3,0)

B(6,1)

C(15,0)

Step-by-step explanation:

To find the three new coordinates A,B,C we have to find out the equation of the original curve y=f(x) which is shown in the figure. We find that equation by using the turning point (2,1) which is point B and take any other point either A or C which intercept's the x-axis, i took C. We put both these points into the completing square formula of the curve.

[tex]y=a(x-h)^2+k[/tex]

where (h,k) are the turning points (2,1) respectively and C (5,0) corresponds to (x,y)

so the equations becomes

[tex]0=a(5-2)^2+1\\0=a(3)^2+1\\0=9a+1\\-1=9a\\a=\frac{-1}{9}[/tex]

So our equation y=f(x) becomes

[tex]y=-\frac{(x-2)^2}{9}+1[/tex]

now for

[tex]y=f(\frac{x}{3} )[/tex]

we replace the x in the original equation above with x/3 which changes the equation to

[tex]f(\frac{x}{3} )=-\frac{(\frac{x}{3}-2)^2}{9} +1[/tex]

and now we sketch the curve we have our hints for the new points A,B,C our hint is that the original points A and C are the x-intercepts so the new A and C lets name them A' and C' must be the x-intercepts as well and B is the turning point of y=f(x) so the new point B' must be the turning point of y=f(x/3)

so we simply sketch the curve y=f(x/3) use an online graph plotter if you know how to sketch it to save time or if you don't know you can ask me and i'll teach you cause learning to sketch isn't in the question so furthermore we sketch the curve i attached the figure in an image you check it out and the new points as well.

Which transformation maps the pre-image to the
image?
O dilation
O translation
O reflection
O rotation

Answers

The figure in the image is dilated

Solve showing steps. Use Insert equation to get the symbol and Ctrl with . For exponents x2 + 3x - 4 = 0 9x2 + 12x + 4 =0 (leave answer as a fraction) x2 - 2x - 3 = 0 x2 - 6x + 9 = 0 2x2 - 4x - 3 = 0 (round to two decimal places)*

Answers

Here all the given equations are in the form of

[tex]ax^2+bx+c=0[/tex]

The value of [tex]x[/tex] can be determined by the perfect square method as follows:

[tex]ax^2+bx+c=0[/tex]

[tex]\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0[/tex]

[tex]\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0[/tex]

[tex]\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}[/tex]

[tex]\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)[/tex]

Now, for [tex]x^2+3x-4=0[/tex]

[tex]a=1, b=3, c=-4[/tex]

So, from equation (i)

[tex]x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}[/tex]

[tex]\Rightarrow x=\frac{3\pm5}{2}[/tex]

[tex]\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}[/tex]

[tex]\Rightarrow x= 4, -1[/tex]

Similarly, for [tex]9x^2+12x+4=0[/tex]

[tex]a=9, b=12, c=4[/tex]

So, from equation (i)

[tex]x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}[/tex]

[tex]\Rightarrow x=\frac{-12\pm0}{18}[/tex]

[tex]\Rightarrow x=\frac{-2}{3}[/tex]

For [tex]x^2-2x-3=0[/tex]

[tex]a=1, b=-2, c=-3[/tex]

[tex]x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{2\pm\sqrt{16}}{2}[/tex]

[tex]\Rightarrow x=\frac{2\pm4}{2}[/tex]

[tex]\Rightarrow x=\frac{6}{2},\frac{-2}{2}[/tex]

[tex]\Rightarrow x=3.00, -1.00[/tex]

For [tex]x^2-6x+9=0[/tex]

[tex]a=1, b=-6, c=9[/tex]

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{6\pm0}{2}[/tex]

[tex]\Rightarrow x=3.00[/tex]

For [tex]2x^2-4x-3=0[/tex]

[tex]a=2, b=-4, c=-3[/tex]

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}[/tex]

[tex]\Rightarrow x=\frac{4\pm\sqrt{40}}{4}[/tex]

[tex]\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}[/tex]

[tex]\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}[/tex]

[tex]\Rightarrow x=2.58, -0.58[/tex]

x - y = 5 in slope intercept form

Answers

Step-by-step explanation:

Hey there!

Given;

x-y = 5

Slope intercept form: y = mx+c.

Now try to make it in y= mx+c form.

Take"-y" to right side and and 5 to left side.

x-5= y

Therefore, y = x-5

Hope it helps..

13. Find g(f(5)) if g(x) = 2x - 7 and F(x) = -4x - 7

Answers

Answer:

g(f(5)) = - 61

Step-by-step explanation:

Evaluate f(5) then substitute the value obtained into g(x) , that is

f(5) = - 4(5) - 7 = - 20 - 7 = - 27 , then

g(- 27) = 2(- 27) - 7 = - 54 - 7 = - 61

Given the point D(4,6), what is D' with R-90°

Answers

Answer:

D'( -6 , 4).

Step-by-step explanation:

In rotation through 90 degrees from the origin

P(x,y) - P'(-y , x)

D(4 , 6) - D'( -6 , 4).

It's simple

Complete the solution of the equation. Find the
value of y when x equals -8.
3x + 5y = -59

Answers

Answer:

y = -7

Step-by-step explanation:

To answer this question, we must first plug in -8 for x:

3(-8) + 5y = -59

-24 + 5y = -59

+24           +24

5y = -35

/5      /5

y = -7

Hope this helps :)

im dumb and answered wrong...

the answer above is right ✅

What is the vertical distance between 580ft above sea level and 200ft below sea level. Help

Answers

Answer:

780ft Hope i helped <3

Step-by-step explanation:

Answer:

780 ft

Step-by-step explanation:

you have to think of it as adding the two and not subtracting because they are asking the total distance. The first one is above sea level so it's 580 above sea level. the second one is under sea level so 200 ft under sea level. that means that the total distance if we start from under the sea 200 ft up to the sea level and then another 580 ft to above sea level!

10) Use the equation x2 + 8x = 9 to answer the following questions (1 point for each part, 2 points total). .
a. What number should be added to both sides of the equation to complete the square?
b. Solve for x by completing the square.

Answers

Answer:

i might be wrong but i think its 10

Step-by-step explanation:

x2+8x=9

collet terms

10x=9

divide both side by 10

x = 9/10

alternative form

x = 0.9

State the number of complex roots, the number of positive real roots and the number of negative real roots of
x^4-x^3-6x+ 3 =0

Answers

9514 1404 393

Answer:

2 complex roots2 positive real roots0 negative real roots

Step-by-step explanation:

The signs of the terms are + - - +. There are two sign changes, so 0 or 2 positive real roots.

Negating the signs of the odd-degree terms, the signs are + + + +. There are no sign changes, so 0 negative real roots.

For x=0, the value of the quartic is +3. For x=1, the value is -3, so we know there are 2 positive real roots, one of which lies in the interval (0, 1).

The 4th-degree polynomial equation must have 4 roots, so the other two must be complex.

2 complex roots2 positive real roots0 negative real roots

_____

The roots are approximately 0.489999841592, 2.06573034434, −0.777865092969 ± 1.53582061225i

What is the slope of the line?

-5/2 -2/5 2/5 5/2
what is -5 + -2 ​

Answers

Yeet line would be ur answer then the different line for each roads

Answer:

5/2 it is positive and you always do rise over run.

-5+-2=-7

Step-by-step explanation:

Andrew rents bowling shoes for $4. He bowls 2 games. Andrew spent a total of $22. How much was the cost of each game, b? Complete the bar diagrams, and then solve the problem. Three bar graphs. Top bar on each is Total Spent. Bottom bar on each has 3 sections. The left section is labeled shoe rental, and each of the other sections is labeled cost per game. The cost per game sections are b. The other parts have fill-in boxes. Each game cost .

Answers

Answer:

2b + 4 = 22

b= 9, the cost of each game is $9

Step-by-step explanation:

A volleyball player sets a volleyball straight up into the air. The height of the volleyball, , is modeled by this equation, where t represents the time, in seconds, after that ball was set.



The volleyball reaches its maximum height after 0.625 seconds. What is the maximum height of the volleyball?

Answers

Answer:

The maximum height of the volleyball is 12.25 feet.

Step-by-step explanation:

The height of the volleyball, h(t), is modeled by this equation, where t represents the  time, in seconds, after that ball was set :

....(1)

The volleyball reaches its maximum height after 0.625 seconds.

For maximum height,

Put

Now put t = 0.625 in equation (1)

Hope this helps!!

What is the measure of the angles below?* 8x-3 6.x + 17​

Answers

Answer:

x = 10

Step-by-step explanation:

Simplifying

8x + -3 = 6x + 17

Reorder the terms:

-3 + 8x = 6x + 17

Reorder the terms:

-3 + 8x = 17 + 6x

Solving

-3 + 8x = 17 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-3 + 8x + -6x = 17 + 6x + -6x

Combine like terms: 8x + -6x = 2x

-3 + 2x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0

-3 + 2x = 17 + 0

-3 + 2x = 17

Add '3' to each side of the equation.

-3 + 3 + 2x = 17 + 3

Combine like terms: -3 + 3 = 0

0 + 2x = 17 + 3

2x = 17 + 3

Combine like terms: 17 + 3 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

 

If the coordinates of N are (5,6) and the midpoint of MN is (-1,4) then what are the coordinates of M?

Answers

Answer:

m-7 2

Step-by-step explanation:

I very much agree-_-

A tennis ball is hit upward with a velocity of 48 feet per second. Use h(x) = -16x2 + 48x + 400 where h(t) is the
height of the ball after x seconds. Ignoring the height of the tennis player,
21. How long does it take the ball to hit the ground?
a. 1.5 sec
b. 8 sec
c. 6.72 sec
d. 436 sec
22. What is the maximum height reached by the ball? a. 1.5 ft
b. 8 ft
c. 6.72 ft
d. 436 ft
23. At what time does the ball reach the maximum height?
a. 1.5 sec
b. 8 ft
C. 6.72 ft
d. 436 ft
OCT
21

Answers

Answers:

21. C

22. D

23. A

Answer:

...

Step-by-step explanation:

...

What are the x-intercepts of this function? f(x)=-9x^2+3x1

Answers

[tex] - 9 {x}^{2} + 3x = 0 [/tex]

[tex]3x( - 3x + 1) = 0[/tex]

[tex]3 x = 0 \\ x = 0[/tex]

And

[tex] - 3x + 1 = 0 \\ - 3x = - 1 \\ x = \frac{ - 1}{ - 3} \\ x = \frac{1}{3} [/tex]

So the x-intercepts are :

[tex]x = 0 \: \: \: \: \: and \: \: \: \: \: x = \frac{1}{3} \\ [/tex]

A delivery service defines a "package" as a parcel for the sum of the length and the girth is less than 70 in (length is the longest side of the package and the girth is the distance around the other two sides of the package) a box has a fixed girth of 24 in. Determine those lengths for which the box is considered a "package"​

Answers

Answer:

Between 0 and 46 in

Step-by-step explanation:

As per definition of the package

g + l < 70 in, where g- girth and l- length

Given the value of g

g = 24 in

So the value of l should be

24 + l < 70l < 70 - 24l < 46 in

To be considered a package the length to be less than 46 in

Cabletown charges $5 signup fee and a $0.50 charge per video.
Networkflicks charges a $12 signup fee and a $0.15 charge per video. How
many videos do you need to watch in a month for the two companies to cost
the same?

Answers

Given parameters:

Signup fee for Cabletown = $5

Charge per video = $0.50

Sign up fee for Networkflicks = $12

Charge per video = $0.15

Unknown:

The number of videos watched in which the cost of both months will be thesame = ?

Solution:

Let the number of videos= x

Now let us set up algebraic equations to solve this problem;

      5 + 0.5x = 12 + 0.15x

   Collect like terms and solve;

        5 - 12  = 0.15x  - 0.5x

             -7  = -0.35x

               x  = 20

The number of videos watched will be 20 videos

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